Time Dilation - Darth Vader's age

[aatari]

Can someone kindly review my solution to see if I did it correctly. This is an assignment question.

Homework Statement

If Darth Vader was 50 years old when he left his galaxy in 2007, how old would he be if he returned in 2025 if he had traveled at a rate of 2.8 × 108 m/s?

Homework Equations

The Attempt at a Solution

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[TSny]

Your work looks correct except for the value that you used for c.

 

[aatari]

Your work looks correct except for the value that you used for c.

Great thank you. And I don't know why I used 3.8 instead of 3 for the value of C. I will correct that.

 

[PeroK]

Homework Statement

If Darth Vader was 50 years old when he left his galaxy in 2007, how old would he be if he returned in 2025 if he had traveled at a rate of 2.8 × 108 m/s?

Note that if he traveled at that speed for 18 years, that would get him to the next star or two, perhaps, but he wouldn't be getting out of his galaxy!